Effects of dynamic tides on the rate of apsidal motion in close binary systems

Statistics – Computation

Scientific paper

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Apsides, Binary Stars, Computational Astrophysics, Main Sequence Stars, Stellar Motions, Tides, Equations Of Motion, Perturbation Theory, Stellar Models, Stellar Oscillations, Stellar Structure

Scientific paper

The present derivation of a theoretical expression for the secular element of the apsidal motion rate in close binary systems treats dynamic tides as forced, linear, nonradial, isentropic oscillations of a gaseous star; the rotation of the tidally distorted star is, however, ignored. For a given finite orbital period, the use of the dynamic theory of tides leads to a rate of secular apsidal motion which is different from that predicted by the use of the equilibrium theory of tides. Attention is given to the rate of secular apsidal motion caused by the tidal distortion of a 5 solar-mass main sequence star, both for very short orbital periods and for eccentricity values ranging from 0 to 0.5.

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